Convex cones
From Wikimization
Nonorthogonal projection on extreme directons of convex cone
pseudo coordinates
Let be a full-dimensional closed pointed convex cone
in finite-dimensional Euclidean space
.
For any vector and a point
,
define
to be the largest number
such that
.
Suppose and
are points in
.
Further, suppose that for every extreme direction
of
.
Then must be equal to
.